Charles Ehresmann's concepts in differential geometry

Paulette Libermann

Banach Center Publications (2007)

• Volume: 76, Issue: 1, page 35-50
• ISSN: 0137-6934

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Abstract

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We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.

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Paulette Libermann. "Charles Ehresmann's concepts in differential geometry." Banach Center Publications 76.1 (2007): 35-50. <http://eudml.org/doc/281788>.

@article{PauletteLibermann2007,
abstract = {We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.},
author = {Paulette Libermann},
journal = {Banach Center Publications},
keywords = {fiber bundles; connections; pseudogroups; groupoids; holonomic jets; semi-holonomic jets},
language = {eng},
number = {1},
pages = {35-50},
title = {Charles Ehresmann's concepts in differential geometry},
url = {http://eudml.org/doc/281788},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Paulette Libermann
TI - Charles Ehresmann's concepts in differential geometry
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 35
EP - 50
AB - We outline some of the tools C. Ehresmann introduced in Differential Geometry (fiber bundles, connections, jets, groupoids, pseudogroups). We emphasize two aspects of C. Ehresmann's works: use of Cartan notations for the theory of connections and semi-holonomic jets.
LA - eng
KW - fiber bundles; connections; pseudogroups; groupoids; holonomic jets; semi-holonomic jets
UR - http://eudml.org/doc/281788
ER -

Citations in EuDML Documents

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1. Miroslav Doupovec, Ivan Kolář, On the $\gamma$-equivalence of semiholonomic jets
2. David J. Saunders, Jets and the variational calculus

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